Question

Can someone please answer this question please answer it correctly and show work please

Answer 1

42) 122.72 square inches

43) 212.83 additional feet of fabric

Explanation:

42)

Diameter =
`12(1)/(2)` = 12.5 inches

Radius = (1/2) * Diameter = (1/2) * 12.5 = 6.25 inches

The formula for calculating the area of a circle is π * Radius²

π * Radius²

Substitute radius and pi into formula

3.14159265359 * 6.25²

Solve exponent

3.14159265359 * 39.0625

Multiply

122.7184630309

Round to the nearest hundredth

122.72 square inches

43) Clarissa needs 500 feet of fabric

She has these pieces

3 pieces of fabric that are each 18 yards long

1 piece of fabric that is
`16(1)/(2)` yards long

1 piece of fabric that is
`75(2)/(3)` feet long

Convert all yard measurements to feet and all fractions to decimals

(1 yard = 3 feet)

3 pieces of fabric that are each 54 feet long

1 piece of fabric that is 49.5 yards long

1 piece of fabric that is 75.67 feet long

Add all lengths

3(54) + 49.5 + 75.67

162 + 49.5 + 75.67 = 287.17

Subtract from 500 to find missing length

500 - 287.17 = 212.83

212.83 additional feet of fabric

Hope this helps :)